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687118146 = 2311132334819
BaseRepresentation
bin101000111101001…
…001011101000010
31202212221012220020
4220331021131002
52401400240041
6152103154310
723012256621
oct5075113502
91685835806
10687118146
11322951040
12172145996
13ac47bbb0
14673836b8
15404ca866
hex28f49742

687118146 has 64 divisors (see below), whose sum is σ = 1684730880. Its totient is φ = 183839040.

The previous prime is 687118127. The next prime is 687118153. The reversal of 687118146 is 641811786.

It is a junction number, because it is equal to n+sod(n) for n = 687118098 and 687118107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2325 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (26323920).

Almost surely, 2687118146 is an apocalyptic number.

687118146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 687118146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842365440).

687118146 is an abundant number, since it is smaller than the sum of its proper divisors (997612734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687118146 is a wasteful number, since it uses less digits than its factorization.

687118146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34871.

The product of its digits is 64512, while the sum is 42.

The square root of 687118146 is about 26212.9385227982. The cubic root of 687118146 is about 882.4236502200.

The spelling of 687118146 in words is "six hundred eighty-seven million, one hundred eighteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3289 6578 9867 19734 34819 69638 104457 208914 383009 452647 766018 800837 905294 1149027 1357941 1601674 2298054 2402511 2715882 4805022 4979117 8809207 9958234 10410881 14937351 17618414 20821762 26427621 29874702 31232643 52855242 62465286 114519691 229039382 343559073 687118146